(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
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(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^8-1)(3^8+1)(3^16+1)/(3-1)+1
=(3^16-1)(3^16+1)/(3-1)+1
=(3^32-1)/(3-1)+1
=3^31-1+1
=3^31
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)/(3-1)+1
=(3^8-1)(3^8+1)(3^16+1)/(3-1)+1
=(3^16-1)(3^16+1)/(3-1)+1
=(3^32-1)/(3-1)+1
=3^31-1+1
=3^31
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(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
=[(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^4-1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^8-1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^16-1)(3^16+1)+1]/(3-1)
=[(3^32-1)+1]/(3-1)
=3^32/2
=[(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^4-1)(3^4+1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^8-1)(3^8+1)(3^16+1)+1]/(3-1)
=[(3^16-1)(3^16+1)+1]/(3-1)
=[(3^32-1)+1]/(3-1)
=3^32/2
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=（3-1）(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)÷（3-1）+1
=（3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)÷2+1(平方差公式）
=（3^16-1）÷2+1
=3^16/2+1/2
=（3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)÷2+1(平方差公式）
=（3^16-1）÷2+1
=3^16/2+1/2
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